How does the width of a pipe affect the pitch?

The width of a pipe affects the pitch of the sound produced by altering the frequency of the vibrations within it. A wider pipe allows for lower-frequency sound waves to form, resulting in a lower pitch, while a narrower pipe produces higher-frequency waves, resulting in a higher pitch. This relationship is due to the fundamental principles of acoustics, where the dimensions of the pipe influence the wavelengths of the sound generated. Thus, as the diameter of the pipe changes, so does the pitch of the sound it produces.